Elliptic curve isogeny class with LMFDB label 567.a (Cremona label 567b)

• Label: 567.a
• Number of curves: $1$
• Conductor: $567$
• CM: no
• Rank: $1$

Elliptic curves in class 567.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
567.a1	567b1	\([1, -1, 1, -2, 82]\)	\(-9/49\)	\(-2893401\)	\([]\)	\(72\)	\(-0.081246\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 567.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 567.a do not have complex multiplication.

Modular form 567.2.a.a